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AleksAgata [21]
3 years ago
8

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 12$ and $a^5 b^5 = 7776$. what is the value of $a$ in this ordered

pair?
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0
This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
6=12/b^3
multiplying both sides by b^3 we get
6b^3=12
b^3=2
hence;
b=2^(1/3)



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Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234
KatRina [158]

Answer:

99.

Step-by-step explanation:

A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.

Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).

Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.

6 0
3 years ago
If x = -4, calculate 2x squared - 5
Varvara68 [4.7K]
You just substitute the value of x in the given equation:


f(x) = 2x^2 - 5

f(-4) = 2 (-4)^2 -5 = 27

f(x) : a name given to the equation
f(-4): refer to the equation when the value of the independent variable x has the value between the brackets.
5 0
3 years ago
In 3 hours, a car travels 120 miles. What is the speed of the car
-Dominant- [34]
40 miles an hour and yeah..
3 0
3 years ago
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 Jessica is planting a garden. It has the shape of a right triangle. She wants 4 plants for each square foot of area. How many p
BigorU [14]

Answer:

21 plants are in the garden

Step-by-step explanation:

here , base = 7 m

height = 24 m

Thus , The area of the triangle (garden ) is 84 m ²

he wants 4 plants for each square meter of area.

therefore , for 84 m ² number of plants are

i.e 21 plants

hence , 21 plants are in the garden

8 0
3 years ago
9/10-1/3-1/5 find the fraction
Zanzabum
Find a common multiple in between the denominators.
10 and 3 and 5 -> the least common multiple is 30.

Change all the denominators to 30 by multiplying the top and bottom by the same number.

9/10=27/30
1/3=10/30
1/5=6/30

Subtract!
27/39-10/30-6/30=11/30

The answer is 11/30

Hope this helps!



3 0
3 years ago
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